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Simulation of fluid outflow from a channel with complex geometry [PDF]
E3S Web of Conferences, 2020 Topic of the paper is the simulation of fluid outflow from a channel with complex geometry. Subject of the study is the outflow of fluid from a channel with an arbitrary section, in particular, consisting of a parabolic inlet, cylindrical middle and ...
Karimov K +3 more
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Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation
Universal Journal of Mathematics and Applications, 2023 In this paper, the Lakshmanan-Porsezian-Daniel (LPD) equation is studied. New analytical rational solitons to the LPD equation are presented by an ansatz method.
İlker Burak Giresunlu, Bengi Yıldız
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Discrete and Continuous Models and Applied Computational Science, 2021 In this work, a numerical study of the solutions of the parabolic and hyperbolic equations of heat conduction with the same physical parameters is carried out and a comparative analysis of the results obtained is carried out. The mathematical formulation
Ilkizar V. Amirkhanov +2 more
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The Bitsadze–Samarskii problem for some characteristically loaded hyperbolic-parabolic equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 The paper considers a characteristically loaded equation of a mixed hyperbolic-parabolic type with degeneration of order in the hyperbolicity part of the domain.
Kazbek Uzeirovich Khubiev
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Inverse source problem for an equation of mixed parabolic-hyperbolic type with the time fractional derivative in a cylindrical domain [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 This article is devoted to the study of an inverse source problem for a mixed type equation with a fractional diffusion equation in the parabolic part and a wave equation in the hyperbolic part of a cylindrical domain.
Durdimurod K. Durdiev
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Dezin problem analog for a parabolic-hyperbolic type equation with periodicity condition [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 In this paper we consider an inhomogeneous second-order parabolic-hyperbolic mixed type equation, represented as one-dimensional heat equation in the parabolic part and the one-dimensional wave equation in the hyperbolic part. For the equation, an analog
Romazan A. Kirzhinov
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A Computationally Efficient Dynamic Grid Motion Approach for Arbitrary Lagrange–Euler Simulations
Fluids, 2023 The present article addresses the topic of grid motion computation in Arbitrary Lagrange–Euler (ALE) simulations, where a fluid mesh must be updated to follow the displacements of Lagrangian boundaries.
Antonin Leprevost +2 more
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ABOUT MODEL OF LOADED PARTIAL HYPERBOLIC-PARABOLIC DIFFERENTIAL EQUATION OF SECOND ORDER [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015 We studied a models of loaded equation of mixed hyperbolic-parabolic type with characteristicly and not characteristicly modifying line. For the proposed equation models boundary value problem is considered and solutions is written out.
K.U. Khubiev
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Axioms, 2022 The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
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On green’s function of second darboux problem for hyperbolic equation
Вестник КазНУ. Серия математика, механика, информатика, 2022 A definition and justify a method for constructing the Green’s function of the second Darboux problem for a two-dimensional linear hyperbolic equation of the second order in a characteristic triangle is given.
B. Derbissaly
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